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Finding the Fourth Proportional to 9,937.84, 13,726.35 and 7,431.09

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Solution

The fourth proportional to 9,937.84, 13,726.35 and 7,431.09 is: 10,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.84 : 13,726.35 = 7,431.09 : x
  2. Step 2: Convert to fraction form
    9,937.84/13,726.35 = 7,431.09/x
  3. Step 3: Cross multiply
    9,937.84x = 13,726.35 × 7,431.09
  4. Step 4: Simplify right side
    9,937.84x = 102,001,742.22
  5. Step 5: Solve for x
    x = 102,001,742.22/9,937.84
  6. Step 6: Final answer
    x = 10,263.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.